Random Feynman graphs

Bo Söderberg

doi:10.1063/1.1985383

Random Feynman graphs

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

We investigate a class of random graph ensembles based on the Feynman graphs of multidimensional integrals, representing statistical-mechanical partition functions. We show that the resulting ensembles of random graphs strongly resemble those defined in random graphs with hidden color, generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution

Original language	English
Title of host publication	SCIENCE OF COMPLEX NETWORKS:
Subtitle of host publication	CNET 2004
Editors	J. F. F. Mendes, et al.
Publisher	American Institute of Physics (AIP)
Pages	118-130
DOIs	https://doi.org/10.1063/1.1985383
Publication status	Published - 2005
Event	Science of Complex Networks. From Biology to the Internet and WWW CNET 2004 - Aveiro, Portugal Duration: 2004 Aug 29 → 2004 Sept 2

Publication series

Name
Volume	776
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Name	AIP Conference Proceedings
Publisher	AIP
Volume	776

Conference

Conference	Science of Complex Networks. From Biology to the Internet and WWW CNET 2004
Country/Territory	Portugal
City	Aveiro
Period	2004/08/29 → 2004/09/02

Subject classification (UKÄ)

Biophysics

Free keywords

random Feynman graphs
statistical-mechanical partition functions

Access to Document

10.1063/1.1985383

Cite this

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title = "Random Feynman graphs",

abstract = "We investigate a class of random graph ensembles based on the Feynman graphs of multidimensional integrals, representing statistical-mechanical partition functions. We show that the resulting ensembles of random graphs strongly resemble those defined in random graphs with hidden color, generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution",

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author = "Bo S{\"o}derberg",

year = "2005",

doi = "10.1063/1.1985383",

language = "English",

publisher = "American Institute of Physics (AIP)",

pages = "118--130",

editor = "Mendes, \{J. F. F.\} and et al.",

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note = "Science of Complex Networks. From Biology to the Internet and WWW CNET 2004 ; Conference date: 29-08-2004 Through 02-09-2004",

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PY - 2005

Y1 - 2005

N2 - We investigate a class of random graph ensembles based on the Feynman graphs of multidimensional integrals, representing statistical-mechanical partition functions. We show that the resulting ensembles of random graphs strongly resemble those defined in random graphs with hidden color, generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution

AB - We investigate a class of random graph ensembles based on the Feynman graphs of multidimensional integrals, representing statistical-mechanical partition functions. We show that the resulting ensembles of random graphs strongly resemble those defined in random graphs with hidden color, generalizing the known relation of the Feynman graphs of simple one-dimensional integrals to random graphs with a given degree distribution

KW - random Feynman graphs

KW - statistical-mechanical partition functions

UR - https://www.scopus.com/pages/publications/33749554546

U2 - 10.1063/1.1985383

DO - 10.1063/1.1985383

M3 - Paper in conference proceeding

SP - 118

EP - 130

BT - SCIENCE OF COMPLEX NETWORKS:

A2 - Mendes, J. F. F.

A2 - al., et

PB - American Institute of Physics (AIP)

T2 - Science of Complex Networks. From Biology to the Internet and WWW CNET 2004

Y2 - 29 August 2004 through 2 September 2004

ER -

Random Feynman graphs

Abstract

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Free keywords

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Cite this